213425549064000 has 1344 divisors, whose sum is σ = 940424236577280. Its totient is φ = 44992939622400.

The previous prime is 213425549063999. The next prime is 213425549064001. The reversal of 213425549064000 is 460945524312.

213425549064000 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 2 + 554 + 90 + 6 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213425549063999) and next prime (213425549064001).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-4 number, since 4×213425549064000⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213425549064001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8248955064 + ... + 8248980936.

It is an arithmetic number, because the mean of its divisors is an integer number (699720414120).

Almost surely, 2^{213425549064000} is an apocalyptic number.

213425549064000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213425549064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470212118288640).

213425549064000 is an abundant number, since it is smaller than the sum of its proper divisors (726998687513280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213425549064000 is a wasteful number, since it uses less digits than its factorization.

213425549064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27185 (or 27162 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 213425549064000 in words is "two hundred thirteen trillion, four hundred twenty-five billion, five hundred forty-nine million, sixty-four thousand".